Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #3
Due: Sept. 25, 2014
Guidelines for getting maximum credit from a problem set are posted on the Blackboard website.
Please adhere to the format described there in preparing your solutions. Solutions that do not
follow the req
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #7
Due: Nov. 6th, 2014
Guidelines for getting maximum credit from a problem set are posted on the Blackboard website.
Please adhere to the format described there in preparing your solutions. Solutions that do not
follow the req
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #5
Due: October 24, 2014 at 5:00PM
Guidelines for getting maximum credit from a problem set are posted on the Blackboard
website. Please adhere to the format described there in preparing your solutions. Solutions
that do not fo
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #6
Due: October 30, 2014
Guidelines for getting maximum credit from a problem set are posted on the Blackboard
website. Please adhere to the format described there in preparing your solutions. Solutions that
do not follow the r
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #6
Due: October 30, 2014
Guidelines for getting maximum credit from a problem set are posted on the Blackboard
website. Please adhere to the format described there in preparing your solutions. Solutions that
do not follow the r
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #5
Due: October 24, 2014 at 5:00PM
Guidelines for getting maximum credit from a problem set are posted on the Blackboard
website. Please adhere to the format described there in preparing your solutions. Solutions
that do not fo
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #4 Solutions
Due: Oct. 4, 2014 at 5pm
1. Draw the Burgers circuit and sketch the Burgers vector for the dislocations shown in the
diagram.
2.
3. Fun with Vacancies
(a) Show the equation that relates the vacancy population to te
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Recitation Diffusion, Plasticity, and Creep
Fall 2011
Diffusion
Random walk process:
If each atom randomly jumps, we might have something that looks like this:
So even though the jumps are random, you get a net diffusion of mass away from
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MSE 2610 Fall 2011
Recitation 6 (final)
Yibei Gu
Fracture
Brittle fracture: if no plastic deformation occurs before fracture, fracture may be
considered to be perfectly brittle.
F : fracture stress
F
Theoretical cleavage stress (max) and work done
f
a
a (
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
Miller Index Notation (II)
Following are five slides from Prof. Robinsons
structure class about HCP miller index.
For finding the HCP directions, the second
way(changing the 4axis index into 3axis
index) is recommended. It is also the way
shown in Cal
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MSE2610 Fall 2011
Recitation 6 Answer key
2)
Strain energy released per unit area of crack growth [J/m2]
Critical GI for crack to grow (fracture toughness) [J/m2]
Strain intensity factor [MPa 1/2]
m
Critical stress intensity factor [MPa 1/2]
m
Geometric f
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
Recitation 4 Part II Fall 2011
Definitions
System: Whatever were looking at. If its outside the
system, we call it the surroundings (or environment)
Component: The independent substances. We usually
think about atomic species.
Phase: defined as having the
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
Miller Index Notation
For directions:
1. Find coefficients l, m, and n of lattice translation vector.
2. Reduce these to integers. Reduce further if all have a common divisor.
3. Enclose l, m, and n in brackets [lmn]
Ex:
x3
x1 projection: 1
x2 projection:
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #2
Due: Sept. 18, 2014
1.)
a.) Sketch the simple, facecentered, and bodycentered cubic unit cells
Simple Cubic
BodyCentered Cubic
FaceCentered Cubic
b.) Calculate the atomic packing factor of the three cubic Bravais lattice
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #3
Due: Sept. 25, 2014
1.)
(a) Once the 100 MPa stress is applied at t=5 seconds, spring A will instantaneously
100
stretch to a strain of = = 50 = 2. Spring B in parallel with the dashpot
result in a time dependent strain. The
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
MS&E/ENGRD 2610
Problem Set #4
Due: Oct. 4, 2014 at 5pm
Guidelines for getting maximum credit from a problem set are posted on the Blackboard website.
Please adhere to the format described there in preparing your solutions. Solutions that do not
follow th
Mechanical Properties of Materials: From Nanodevices to Superstructures
ENGRD 2610

Fall 2014
Racket 1
Carbon fiber
Case: total def
REAL MAGNIFICATION #: 926.9
Carbon fiber
Case 1
Carbon fiber
Case 2
Carbon fiber
Small crack
Carbon fiber
Small crack
Case: total
Carbon fiber
Small crack
Case 1
CF
Small crack
Case 2
CF
Small crack
CF